2479620000 has 720 divisors, whose sum is σ = 10150775712. Its totient is φ = 522240000.

The previous prime is 2479619977. The next prime is 2479620029. The reversal of 2479620000 is 269742.

It is a happy number.

It is a super-2 number, since 2×2479620000² = 12297030688800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2479620000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 145859992 + ... + 145860008.

Almost surely, 2^2479620000 is an apocalyptic number.

2479620000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2479620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075387856).

2479620000 is an abundant number, since it is smaller than the sum of its proper divisors (7671155712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2479620000 is a wasteful number, since it uses less digits than its factorization.

2479620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2479620000 is about 49795.7829539812. The cubic root of 2479620000 is about 1353.5107524333.

Adding to 2479620000 its reverse (269742), we get a palindrome (2479889742).

The spelling of 2479620000 in words is "two billion, four hundred seventy-nine million, six hundred twenty thousand".